2 years ago

Find the tenth term in each sequence. -14, -6, -2, 0, 1, ...

Mathematics

1 answer:

Lesechka [4]2 years ago

3 0

Answer:

$\frac{31}{32} .$

Step-by-step explanation:

-14; -6; -2; 0; 1; 1/2; 3/4; 7/8; 15/16; 31/32.

the difference between the previous and next term is 2⁴⁻ⁿ.

You might be interested in

Complete the equation of the line through (-9,-9) and (-6,0)

Rudik [331]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis.

According to the data of the statement we have the following points:

$(x_ {1}, y_ {1}): (- 9, -9)\\(x_ {2}, y_ {2}): (- 6,0)$

We found the slope:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 9)} {- 6 - (- 9)} = \frac { 9} {- 6 + 9} = \frac {9} {3} = 3$

Thus, the equation is of the form:

$y = 3x + b$

We substitute one of the points and find b:

$0 = 3 (-6) + b\\0 = -18 + b\\b = 18$

Finally, the equation is:

$y = 3x + 18$

Answer:

$y = 3x + 18$

7 0

3 years ago

the measure of three angles of a quadrilateral are 80,90,and 103 degrees.Find the measure of the fourth angle.

r-ruslan [8.4K]

<span>87 degrees
https://www.algebra.com/algebra/homework/Parallelograms/Parallelograms.faq.question.313985.html
</span>

5 0

2 years ago

Solve this problem using the proper formula. A carpenter is building a bookcase the perimeter of the top is 108 in. What length

lapo4ka [179]

Assuming the length is y and the width is x
Perimeter = y + y + x + x
                = 2y +2x
                = 2 (y + x)
if the is 8 and the perimeter is 108
   108 = 2 (y +8)
    108/2 = y+8
    54    = y +8
    54 - 8 = y
    46 = y

Length = 46 inches

3 0

3 years ago

Read 2 more answers

97823843221623882623602794632621621738987345381237787733247697818473621883466325342536234347642375362374564357343525234766244353

elixir [45]

The answer is 6 :), I hope this helps <33!3&9/&

5 0

3 years ago

Read 2 more answers

A circle has its center at (1, 4) and a radius of 2 units. Find the equation of the circle using the Pythagorean Theorem.

Aleonysh [2.5K]

(x-1)^2+(y-4)=4 is the answer but the pyth theorem is for triangles

8 0

2 years ago